3D spaceship control using mouse?

Hi, working on developing a small space arena game. I've made a basic version so far but I am looking to improve the controlling of the ship. I'd like it so that WASD controls the forwards/backwards and the left/right velocity and the mouse/crosshair is used to direct flying, much like in popular flight sim titles.

My idea of how to do this was by tilting the jet based on the mouse position but I have absolutely no idea how this would be achieved.

Can anyone help me out?